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From: Hal Ruhl <HalRuhl.domain.name.hidden>

Date: Mon, 22 Oct 2001 20:20:31 -0700

I tried to send this post earlier but I am not sure it worked because it

apparently never made it into the archive.

One additional comment is that this is a TOE of universes that eventually

have infinite bit string descriptions but start with finite bit string

descriptions.

This is an improved presentation of my current TOE model. Its a bit more

than one page.

I believe I see some shadow of both Juergen's approach and Bruno's approach

in it. The intermediate step has unfinished business and the lowest level

is a bit like a duplicator, transporter.

1) The single postulate is "The total system contains no information."

2) Two distinct expressions of "no information" are recognized by the model:

a) The "Nothing" which is devoid of any information whatsoever.

b) The "Everything" which contains all information.

These are not identical. Rather they are antipodal in that neither

can contain the other because of a stability issue.

3) The stability issue is the unavoidable emergence of a question of the

stability of the manifestation of either of these expressions of "no

information" should either actually become manifest. This manifestation

must either be stable or not with respect to the alternate expressions of

"no information". Thus the alternate expression must be separately

available for manifestation and the stability question must have a

resolution.

4) If either expression of "No information" becomes manifest then the

resolution of the stability question represents information and violates

the postulate.

5) A way to make the total system comply with the postulate:

a) Both the "Nothing" and the "Everything" are in a simultaneous

partial manifestation.

b) To avoid any information including any permanent selection in this

system

and thus comply with the postulate the partial manifestation of

the "Everything" is realized by the actual but temporary

manifestation of randomly selected pieces of the "Everything" herein

called patterns each of which has a manifestation of random

duration.

6) Evolving universes are successive isomorphisms to some portion of those

patterns with overlapping manifestations.

7) Enduring evolving universes with fully deterministic rules of

isomorphism succession find no home in this model because they would find

no sustainable state to state trajectory within the random nature of the

partial manifestation of the "Everything". The rules of an enduring

universe must be partly true noise.

8) The cascade representation for state Sj(i + 1) of universe j while in

state Sj(i) is:

(1) P'j(i + 1) = {R'j(i)[Pj(i)]} determines the group of pairs:

{R'jk(i + 1),Sjk(i + 1)}; k = 1 to sj(i).

Where: Pj(i) is the shortest self delimiting program that computes Sj(i).

R'j(i) is the current full set of rules that act on the

current state

[represented in its compressed condition].

sj(i) is the number of acceptable successor {rule set, state}

pairs to

Sj(i) due to the true noise content of R'j(i).

Pj(i) contains Rj(i) which is a deterministic derivative of R'j(i - 1) used

only to allow the compression of the data in Sj(i) and a self delimiter DeL(i).

R'j(i) is the full and partially non deterministic true noise containing

successor to R'j(i - 1).

9) The first of the {R'jk(i + 1), Sjk(i + 1)} pairs to be represented in a

sub section of one of the manifest patterns becomes the next state and its

rules [isomorphic link] of universe j as the pattern supporting the current

link loses its own manifestation.

Once this happens the precursor program P'(i + 1) is replaced with Pj(i +

1) and the applicable Sjk(i + 1) becomes Sj(i + 1). So we get:

(2) Pj(i + 1) = {Rj(i + 1)[P(i)] + DeL(i + 1)} computes Sj(i + 1).

So operating on this with R'j(i + 1) in a manner similar to (1) gives the

next iteration to the cascade:

(3) P'j(i + 2) = {R'j(i + 1)[Pj(i + 1)} determines the group of

pairs

{R'jk(i + 2),Sjk(i + 2)}; k = 1 to sj(i + 1).

and so on.

10) The model's focus on the use of a discrete point space for a universe

is due to:

a) Notice that each successive Pj() is longer than its predecessor if

Rj() does

not decrease in length and ultimately any such shortening of Rj()

will be

swamped out. Over the long haul then Pj() increases in length.

b) As the length of Pj() increases the length of the string it

computes and

which represents Sj() must increase in length [perhaps not always

synchronized with length changes in Pj()] if it is to maintain a

degree

of internal correlation - an aspect which is considered necessary to

support SAS - but nevertheless contain more complexity.

c) Finite strings can easily increase in length by adding short

strings.

Thus the string is considered finite and must describe the location of

points within any space on a grid with finite pitch.

The possibility of infinitely long highly correlated tails on the strings

that are skipped by the rules of succession is considered an unnecessary

entity.

11) Exploring the dynamics of (1), (2), and (3) is most interesting and

will be covered in later posts.

12) The most interesting space so far explored is face centered cubic.

Hal

Received on Mon Oct 22 2001 - 17:28:34 PDT

Date: Mon, 22 Oct 2001 20:20:31 -0700

I tried to send this post earlier but I am not sure it worked because it

apparently never made it into the archive.

One additional comment is that this is a TOE of universes that eventually

have infinite bit string descriptions but start with finite bit string

descriptions.

This is an improved presentation of my current TOE model. Its a bit more

than one page.

I believe I see some shadow of both Juergen's approach and Bruno's approach

in it. The intermediate step has unfinished business and the lowest level

is a bit like a duplicator, transporter.

1) The single postulate is "The total system contains no information."

2) Two distinct expressions of "no information" are recognized by the model:

a) The "Nothing" which is devoid of any information whatsoever.

b) The "Everything" which contains all information.

These are not identical. Rather they are antipodal in that neither

can contain the other because of a stability issue.

3) The stability issue is the unavoidable emergence of a question of the

stability of the manifestation of either of these expressions of "no

information" should either actually become manifest. This manifestation

must either be stable or not with respect to the alternate expressions of

"no information". Thus the alternate expression must be separately

available for manifestation and the stability question must have a

resolution.

4) If either expression of "No information" becomes manifest then the

resolution of the stability question represents information and violates

the postulate.

5) A way to make the total system comply with the postulate:

a) Both the "Nothing" and the "Everything" are in a simultaneous

partial manifestation.

b) To avoid any information including any permanent selection in this

system

and thus comply with the postulate the partial manifestation of

the "Everything" is realized by the actual but temporary

manifestation of randomly selected pieces of the "Everything" herein

called patterns each of which has a manifestation of random

duration.

6) Evolving universes are successive isomorphisms to some portion of those

patterns with overlapping manifestations.

7) Enduring evolving universes with fully deterministic rules of

isomorphism succession find no home in this model because they would find

no sustainable state to state trajectory within the random nature of the

partial manifestation of the "Everything". The rules of an enduring

universe must be partly true noise.

8) The cascade representation for state Sj(i + 1) of universe j while in

state Sj(i) is:

(1) P'j(i + 1) = {R'j(i)[Pj(i)]} determines the group of pairs:

{R'jk(i + 1),Sjk(i + 1)}; k = 1 to sj(i).

Where: Pj(i) is the shortest self delimiting program that computes Sj(i).

R'j(i) is the current full set of rules that act on the

current state

[represented in its compressed condition].

sj(i) is the number of acceptable successor {rule set, state}

pairs to

Sj(i) due to the true noise content of R'j(i).

Pj(i) contains Rj(i) which is a deterministic derivative of R'j(i - 1) used

only to allow the compression of the data in Sj(i) and a self delimiter DeL(i).

R'j(i) is the full and partially non deterministic true noise containing

successor to R'j(i - 1).

9) The first of the {R'jk(i + 1), Sjk(i + 1)} pairs to be represented in a

sub section of one of the manifest patterns becomes the next state and its

rules [isomorphic link] of universe j as the pattern supporting the current

link loses its own manifestation.

Once this happens the precursor program P'(i + 1) is replaced with Pj(i +

1) and the applicable Sjk(i + 1) becomes Sj(i + 1). So we get:

(2) Pj(i + 1) = {Rj(i + 1)[P(i)] + DeL(i + 1)} computes Sj(i + 1).

So operating on this with R'j(i + 1) in a manner similar to (1) gives the

next iteration to the cascade:

(3) P'j(i + 2) = {R'j(i + 1)[Pj(i + 1)} determines the group of

pairs

{R'jk(i + 2),Sjk(i + 2)}; k = 1 to sj(i + 1).

and so on.

10) The model's focus on the use of a discrete point space for a universe

is due to:

a) Notice that each successive Pj() is longer than its predecessor if

Rj() does

not decrease in length and ultimately any such shortening of Rj()

will be

swamped out. Over the long haul then Pj() increases in length.

b) As the length of Pj() increases the length of the string it

computes and

which represents Sj() must increase in length [perhaps not always

synchronized with length changes in Pj()] if it is to maintain a

degree

of internal correlation - an aspect which is considered necessary to

support SAS - but nevertheless contain more complexity.

c) Finite strings can easily increase in length by adding short

strings.

Thus the string is considered finite and must describe the location of

points within any space on a grid with finite pitch.

The possibility of infinitely long highly correlated tails on the strings

that are skipped by the rules of succession is considered an unnecessary

entity.

11) Exploring the dynamics of (1), (2), and (3) is most interesting and

will be covered in later posts.

12) The most interesting space so far explored is face centered cubic.

Hal

Received on Mon Oct 22 2001 - 17:28:34 PDT

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